Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
216 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 56 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #16840777 | C2 | semidirect |
| 4. M16×#6923 | C2 | semidirect |
| 5. #16840645 | C2 | semidirect |
| 6. #16840634 | C2 | semidirect |
| 23. #14519696 | C4 | semidirect |
| 24. #14519693 | C4 | semidirect |
| 25. #14519693 | C4 | semidirect |
| 26. #101×C61 | C4 | semidirect |
| 113. C61 | #1932 | semidirect |
| 128. #101 | #6923 | semidirect |